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Finding the Fourth Proportional to 617.04, 851.66 and 417.78

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Solution

The fourth proportional to 617.04, 851.66 and 417.78 is: 576.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.04 : 851.66 = 417.78 : x
  2. Step 2: Convert to fraction form
    617.04/851.66 = 417.78/x
  3. Step 3: Cross multiply
    617.04x = 851.66 × 417.78
  4. Step 4: Simplify right side
    617.04x = 355,804.43
  5. Step 5: Solve for x
    x = 355,804.43/617.04
  6. Step 6: Final answer
    x = 576.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.